University of Melbourne
This subject offers a wide ranging introduction to the modern theory of partial differential equations (PDEs) in pure mathematics. Thus we will study questions of existence, uniqueness, regularity, and long time behaviour (e.g.\ energy dispersion) for solutions to PDEs. We will discuss these questions first for the classical equations (Laplace's equation, the heat equation, and the wave equation) which will lead us to the broader theory of elliptic, parabolic, and hyperbolic equations. The course covers mostly linear equations, but exposes the student also to some of the most interesting non-linear equations arising in physics and geometry.
📌 课程信息来源于 Melbourne University Handbook,选课建议为 AI 生成仅供参考。请以官方 Handbook 为准。
数据更新时间:2026 年 2 月 | WhiteMirror 不对信息准确性承担责任